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Risk Price Dynamics

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  • Lars Peter Hansen

    ()
    (University of Chicago - Department of Economics)

  • Jaroslav Borovicka

    ()
    (University of Chicago - Federal Reserve Bank of Chicago)

  • Mark Hendricks

    ()
    (University of Chicago - Department of Economics)

  • Jose A. Scheinkman

    ()
    (Princeton University - Department of Economics)

Abstract

We present a novel approach to depicting asset pricing dynamics by characterizing shock exposures and prices for alternative investment horizons. We quantify the shock exposures in terms of elasticities that measure the impact of a current shock on future cash-flow growth. The elasticities are designed to accommodate nonlinearities in the stochastic evolution modeled as a Markov process. Stochastic growth in the underlying macroeconomy and stochastic discounting in the representation of asset values are central ingredients in our investigation. We provide elasticity calculations in a series of examples featuring consumption externalities, recursive utility, and jump risk.

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File URL: http://bfi.uchicago.edu/RePEc/bfi/wpaper/BFI_2010-004.pdf
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Bibliographic Info

Paper provided by Becker Friedman Institute for Research In Economics in its series Working Papers with number 2010-004.

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Date of creation: Jan 2010
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Handle: RePEc:bfi:wpaper:2010-004

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Web page: http://bfi.uchicago.edu/
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Keywords: growth-rate risk; pricing; dynamics; elasticities; Markov process;

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References

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  1. Calvet, Laurent E. & Fisher, Adlai J., 2008. "Multifrequency jump-diffusions: An equilibrium approach," Journal of Mathematical Economics, Elsevier, vol. 44(2), pages 207-226, January.
  2. John Y. Campbell & John H. Cochrane, 1995. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," NBER Working Papers 4995, National Bureau of Economic Research, Inc.
  3. Lars Peter Hansen & José A. Scheinkman, 2009. "Long-Term Risk: An Operator Approach," Econometrica, Econometric Society, vol. 77(1), pages 177-234, 01.
  4. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  5. Gourieroux, Christian & Jasiak, Joanna, 1999. "Nonlinear innovations and impulse responses," CEPREMAP Working Papers (Couverture Orange) 9906, CEPREMAP.
  6. Simon M. Potter, 1999. "Nonlinear impulse response functions," Staff Reports 65, Federal Reserve Bank of New York.
  7. Lars Peter Hansen & John Heaton & Nan Li, 2005. "Consumption Strikes Back?: Measuring Long-Run Risk," NBER Working Papers 11476, National Bureau of Economic Research, Inc.
  8. Hui Chen, 2010. "Macroeconomic Conditions and the Puzzles of Credit Spreads and Capital Structure," Journal of Finance, American Finance Association, vol. 65(6), pages 2171-2212, December.
  9. Ravi Bansal & Amir Yaron, 2000. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," NBER Working Papers 8059, National Bureau of Economic Research, Inc.
  10. Lettau, Martin & Wachter, Jessica, 2005. "Why is Long-Horizon Equity Less Risky? A Duration-based Explanation of the Value Premium," CEPR Discussion Papers 4921, C.E.P.R. Discussion Papers.
  11. Harjoat S. Bhamra & Lars-Alexander Kuehn & Ilya A. Strebulaev, 2010. "The Levered Equity Risk Premium and Credit Spreads: A Unified Framework," Review of Financial Studies, Society for Financial Studies, vol. 23(2), pages 645-703, February.
  12. Fernando Alvarez & Urban J. Jermann, 2005. "Using Asset Prices to Measure the Persistence of the Marginal Utility of Wealth," Econometrica, Econometric Society, vol. 73(6), pages 1977-2016, November.
  13. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  14. Wachter, Jessica A., 2005. "Solving models with external habit," Finance Research Letters, Elsevier, vol. 2(4), pages 210-226, December.
  15. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
  16. Bonomo, M. & Garcia, R., 1991. "Consumption and Equilibrium Asset Pricing: an Empirical Assessment," Cahiers de recherche 9126, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  17. Hansen, Lars Peter & Heaton, John & Lee, Junghoon & Roussanov, Nikolai, 2007. "Intertemporal Substitution and Risk Aversion," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 61 Elsevier.
  18. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
  19. Koijen, Ralph & Lustig, Hanno & van Nieuwerburgh, Stijn, 2012. "The Cross-Section and Time-Series of Stock and Bond Returns," CEPR Discussion Papers 9024, C.E.P.R. Discussion Papers.
  20. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
  21. Marco Cagetti & Lars Peter Hansen & Thomas Sargent & Noah Williams, 2002. "Robustness and Pricing with Uncertain Growth," Review of Financial Studies, Society for Financial Studies, vol. 15(2), pages 363-404, March.
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Cited by:
  1. Jules H. van Binsbergen & Michael W. Brandt & Ralph S.J. Koijen, . "On the Timing and Pricing of Dividends," Swiss Finance Institute Research Paper Series 11-13, Swiss Finance Institute.
  2. Bakshi, Gurdip & Chabi-Yo, Fousseni, 2011. "Variance Bounds on the Permanent and Transitory Components of Stochastic Discount Factors," Working Paper Series 2011-11, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
  3. Sylvain, Serginio, 2014. "Does Human Capital Risk Explain The Value Premium Puzzle?," MPRA Paper 54551, University Library of Munich, Germany.
  4. Koijen, Ralph & Lustig, Hanno & van Nieuwerburgh, Stijn, 2012. "The Cross-Section and Time-Series of Stock and Bond Returns," CEPR Discussion Papers 9024, C.E.P.R. Discussion Papers.
  5. Jaroslav Borovicka & Lars Peter Hansen, 2011. "Examining Macroeconomic Models Through the Lens of Asset Pricing," Working Papers 2011-012, Becker Friedman Institute for Research In Economics.
  6. Jaroslav Borovička & Lars P. Hansen & José A. Scheinkman, 2014. "Misspecified Recovery," NBER Working Papers 20209, National Bureau of Economic Research, Inc.
  7. Bakshi, Gurdip & Chabi-Yo, Fousseni, 2012. "Variance bounds on the permanent and transitory components of stochastic discount factors," Journal of Financial Economics, Elsevier, vol. 105(1), pages 191-208.
  8. Lars Peter Hansen, 2012. "Risk Pricing over Alternative Investment Horizons," Working Papers 2012-008, Becker Friedman Institute for Research In Economics.
  9. Jaroslav Borovička & Lars P. Hansen & Jose A. Scheinkman, 2014. "Shock Elasticities and Impulse Responses," NBER Working Papers 20104, National Bureau of Economic Research, Inc.

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